A loan of £10,000 is repaid in 5 years with quarterly payments made in arrears. The initial payment is of amount P and subsequent payments increase at the end of every year by 2% p.a. compound. The interest rate is 6% p.a. effective. (a)  Find the value of P. (b)  What is the outstanding balance at the start of the final year? (c)  What is the interest component of the first payment in the final year?

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section4.17: Amortized Loans
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A loan of £10,000 is repaid in 5 years with quarterly payments made in arrears. The initial payment is of amount P and subsequent payments increase at the end of every year by 2% p.a. compound. The interest rate is 6% p.a. effective.

(a)  Find the value of P.

(b)  What is the outstanding balance at the start of the final year?

(c)  What is the interest component of the first payment in the final year?

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